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Full text of "Analytical Mechanics"

TABLE OF CONTENTS                            ix
PAGE
New conditions of equilibrium....................................    207
Stability of equilibrium..........................................    208
Newtonian potential.............................................    211
Field intensity..................................................    212
CHAPTER XL   UNIPLANAR MOTION OF A RIGID BODY.
Angular kinetic, react ion.........................................    218
The law of action and reaction......................................    218
Experimental definition of moment of inertia.........................    220
Torque equation................................................    221
Comparison....................................................    222
Torque and energy methods......................................    223
Motion about a fixed axis........................................    224
Motion about instantaneous axes..................................    228
CHAPTER XII.   IMPULSE AND MOMENTUM.
Impulse.........................................................    238
Momentum....................................................    239
Conservation of momentum......................................    241
Motion of center of mass.........................................    242
Central collision................................................    244
Impact.........................................................    249
Kllidency of a blow.............................................    251
Motion where mass varies........................................    253
Oblique impact..................................................    258
CHAPTER XIII.   ANGULAR IMPULSE AND ANGULAR MOMENTUM.
Angular impulse................................................    205
Angular momentum.............................................    266
Conservation of angular momentum...............................    208
Ballistic pendulum..............................................    271
Motion relative to the center of mass..............................    272
Reaction of axis.................................................    276
Center of percussion.............................................    279
CHAPTER XIV.   MOTION OF A PARTICLE IN A CENTRAL FIELD OF FORCE.
Central field of force.............................................    283
Equations of motion.............................................    283
Mot ion of two gravitating particles................................    287
Types of orbits.................................................    290
Mass of a planet which has a satellite.............................    293